(6x+1)+(3x+2)+(5x-1)=180

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Solution for (6x+1)+(3x+2)+(5x-1)=180 equation:


Simplifying
(6x + 1) + (3x + 2) + (5x + -1) = 180

Reorder the terms:
(1 + 6x) + (3x + 2) + (5x + -1) = 180

Remove parenthesis around (1 + 6x)
1 + 6x + (3x + 2) + (5x + -1) = 180

Reorder the terms:
1 + 6x + (2 + 3x) + (5x + -1) = 180

Remove parenthesis around (2 + 3x)
1 + 6x + 2 + 3x + (5x + -1) = 180

Reorder the terms:
1 + 6x + 2 + 3x + (-1 + 5x) = 180

Remove parenthesis around (-1 + 5x)
1 + 6x + 2 + 3x + -1 + 5x = 180

Reorder the terms:
1 + 2 + -1 + 6x + 3x + 5x = 180

Combine like terms: 1 + 2 = 3
3 + -1 + 6x + 3x + 5x = 180

Combine like terms: 3 + -1 = 2
2 + 6x + 3x + 5x = 180

Combine like terms: 6x + 3x = 9x
2 + 9x + 5x = 180

Combine like terms: 9x + 5x = 14x
2 + 14x = 180

Solving
2 + 14x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 14x = 180 + -2

Combine like terms: 2 + -2 = 0
0 + 14x = 180 + -2
14x = 180 + -2

Combine like terms: 180 + -2 = 178
14x = 178

Divide each side by '14'.
x = 12.71428571

Simplifying
x = 12.71428571

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